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Finding the Fourth Proportional to 442,954.29, 664,689.30 and 186,770.78

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Solution

The fourth proportional to 442,954.29, 664,689.30 and 186,770.78 is: 280,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,954.29 : 664,689.30 = 186,770.78 : x
  2. Step 2: Convert to fraction form
    442,954.29/664,689.30 = 186,770.78/x
  3. Step 3: Cross multiply
    442,954.29x = 664,689.30 × 186,770.78
  4. Step 4: Simplify right side
    442,954.29x = 124,144,542,276.87
  5. Step 5: Solve for x
    x = 124,144,542,276.87/442,954.29
  6. Step 6: Final answer
    x = 280,264.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.